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Finding the Fourth Proportional to 64,078.40, 96,002.40 and 54,862.40

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Solution

The fourth proportional to 64,078.40, 96,002.40 and 54,862.40 is: 82,194.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,078.40 : 96,002.40 = 54,862.40 : x
  2. Step 2: Convert to fraction form
    64,078.40/96,002.40 = 54,862.40/x
  3. Step 3: Cross multiply
    64,078.40x = 96,002.40 × 54,862.40
  4. Step 4: Simplify right side
    64,078.40x = 5,266,922,069.76
  5. Step 5: Solve for x
    x = 5,266,922,069.76/64,078.40
  6. Step 6: Final answer
    x = 82,194.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.